The correct option is D Pt in[Pt(H2O)2Br2]
In [Ni(dmg)2] complex, the oxidation state of Ni is +2. Nickel can form octahedral, tetrahedral and square planar comple. Here, Ni2+ forms square planar complex due to the pairing of electrons by strong filed (dmg) ligand. Thus, it has no unpaired electron and it is diamagnetic in nature.
in Pt in[Pt(H2O)2Br2], the platinum is +2 oxidation state. Pt(II) always prefer inner orbital complex. Thus, it for square planar complex and it diamagnetic.
Pt(II) have 5d8 configuration and complex is square planar and therefore, diamagnetic, So μ=0.